Cost of 4 dozen of bananas is Rs. 60. The number of bananas purchased for Rs. 22.50 will be.

Options

A. 12
B. 18
C. 10
D. 14

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Understand the given information
We know that the cost of 4 dozen bananas is Rs. 60.

### Step 2: Calculate the total number of bananas in 4 dozen
Since 1 dozen equals 12 bananas, we can calculate the total number of bananas in 4 dozen:
\[ \text{Total bananas} = 4 \text{ dozen} \times 12 \text{ bananas/dozen} = 48 \text{ bananas} \]

### Step 3: Establish the cost per banana
Now, we need to find the cost of one banana. The cost of 48 bananas is Rs. 60, so the cost of one banana is:
\[ \text{Cost per banana} = \frac{60 \text{ Rs}}{48 \text{ bananas}} = \frac{60}{48} \text{ Rs} \]

### Step 4: Simplify the cost per banana
We can simplify \(\frac{60}{48}\):
\[ \frac{60}{48} = \frac{5}{4} \text{ Rs} = 1.25 \text{ Rs} \]
So, the cost of one banana is Rs. 1.25.

### Step 5: Find out how many bananas can be bought for Rs. 22.50
To find out how many bananas can be purchased for Rs. 22.50, we divide the total amount by the cost of one banana:
\[ \text{Number of bananas} = \frac{22.50 \text{ Rs}}{1.25 \text{ Rs/banana}} \]

### Step 6: Perform the division
Now, we can perform the division:
\[ \text{Number of bananas} = \frac{22.50}{1.25} = 18 \text{ bananas} \]

### Final Answer
Therefore, the number of bananas that can be purchased for Rs. 22.50 is **18 bananas**.

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